Introduction to Data Science Probability and Data Analysis Introduction to Statistical Modeling Statistical Learning Predictive Modeling Bayesian Data Analysis

1. Possess and understand knowledge that provides foundations for the development and / or application of this knowledge, often, in a research context. 2. Apply the acquired knowledge to solve problems in new or unfamiliar environments within multidisciplinary contexts related to their area of study. 3. Integrate knowledge and face the complexity of formulating judgments based on information that, being incomplete or limited, should include reflections on the social and ethical responsibilities linked to the application of their knowledge and judgments. 4. Possess learning skills that allow them to continue studying in a way that will be self-directed or autonomous. 1. Apply the theoretical foundations of the techniques for the collection, storage, treatment and presentation of information as a basis for the development and adaptation of these techniques to specific problems. 2. Identify the most appropriate data analysis techniques for each problem and apply them for the analysis, design and resolution of these problems. 3. Obtain practical and efficient solutions for problems of treatment of data sets, both individually and as a team. 4. Synthesize the conclusions obtained from these analyzes and present them clearly and convincingly, both in writing and orally. 5. Be able to generate new ideas (creativity) and anticipate new situations, in the contexts of data analysis and decision making. 6. Use skills for teamwork and to relate to others autonomously. Specific Competences: 1. Use the basic results of statistical inference and regression as a basis for prediction methods. 2. Identify and select the appropriate software tools for the treatment of functional data. 3. Use advanced statistical procedures for the treatment of functional data in areas such as modeling, inference and prediction. 4. Design systems for the processing of functional data, from the initial collection and filtering of them, their statistical analysis, to the presentation of the final results.

LEARNING OUTCOMES RA1:Students should have acquired advanced knowledge and demonstrated an understanding of the theoretical and practical aspects and working methodology in the field of data science and engineering with a depth that reaches the forefront of knowledge. RA2:Be capable of applying their knowledge and problem-solving skills, through arguments or procedures developed and sustained by themselves, in complex or professional and specialized work settings that require the use of creative and innovative ideas RA3:Have the ability to collect and interpret data and information on which to base their conclusions including, where appropriate and pertinent, reflection on issues of a social, scientific or ethical nature within their field of study RA4:Be able to cope with complex situations or those that require the development of new solutions in the academic, work or professional field within their field of study RA5:Know how to communicate to all types of audiences (specialized or not) in a clear and precise manner, knowledge, methodologies, ideas, problems and solutions within the scope of their field of study RA6:Be able to identify their own training needs in their field of study and work or professional environment and organize their own learning with a high degree of autonomy in all types of contexts (structured or not). BASIC COMPETENCES CB2:Students are able to apply their knowledge to their work or vocation in a professional manner and possess the competences usually demonstrated through the development and defence of arguments and problem solving within their field of study. CB3:Students have the ability to gather and interpret relevant data (usually within their field of study) in order to make judgements which include reflection on relevant social, scientific or ethical issues. GENERAL COMPETENCES CG1:Adequate knowledge and skills to analyze and synthesize basic problems related to engineering and data science, solve them and communicate them efficiently CG4:Ability to solve technological, computer, mathematical and statistical problems that may arise in data engineering and science CG5:Ability to solve mathematically formulated problems applied to various subjects, using numerical algorithms and computational techniques CG6:Ability to synthesize the conclusions obtained from the analyses carried out and present them clearly and convincingly both in writing and orally SPECIFIC COMPETENCES CE3:Ability to correctly identify classification problems corresponding to certain objectives and data and to use the basic results of multivariate analysis as the basis for classification, clustering and dimension reduction methods CE5:Ability to understand and manage fundamental concepts of probability and statistics and be able to represent and manipulate data to extract meaningful information from them

1. Introduction to the functional data analysis. 2. Tools for exploring functional data: a. Functional mean and variance. b. Covariance and correlation functions. c. Cross-covariance and cross-correlation functions. 3. From functional data to smooth functions: a. Basis functions. b. Smoothing functional data by least-squares. c. Smoothing functional data with a roughness penalty. 4. Principal component analysis for functional data: a. Defining functional PCA. b. Visualizing the results. c. Computational methods for functional PCA. d. Regularized PCA. 5. Regression for functional data: a. Functional linear models with scalar responses. b. Functional linear models with functional responses. 6. Supervised classification for functional data: a. k-nearest neighbors. 7. Unsupervised classification for functional data 1. k-means.

AF1: THEORETICAL-PRACTICAL CLASSES. They will present the knowledge that students should acquire. They will receive the class notes and will have basic texts of reference to facilitate the follow-up of the classes and the development of the subsequent work. Exercises, practical problems on the part of the student will be solved and workshops and evaluation test will be held to acquire the necessary skills. AF2: Updated to allegation AF3: INDIVIDUAL OR GROUP WORK OF THE STUDENT. AF9: FINAL EXAMINATION In which the knowledge, skills and abilities acquired throughout the course will be assessed globally. MD1: CLASS THEORY. Exhibitions in the teacher's class with support of computer and audiovisual media, in which the main concepts of the subject are developed and the materials and bibliography are provided to complement the students' learning. MD2: PRACTICES. Resolution of practical cases, problems, etc. raised by the teacher individually or in groups. MD3: TUTORIES. Individualized assistance (individual tutorials) or group (collective tutorials) to students by the teacher.